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Finding the Third Proportional to 724,442 and 1,573,348

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Solution

The third proportional to 724,442 and 1,573,348 is: 3,417,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,442 : 1,573,348 = 1,573,348 : x
  2. Step 2: Convert to fraction form
    724,442/1,573,348 = 1,573,348/x
  3. Step 3: Cross multiply
    724,442x = 1,573,348 × 1,573,348
  4. Step 4: Simplify right side
    724,442x = 2,475,423,929,104
  5. Step 5: Solve for x
    x = 2,475,423,929,104/724,442
  6. Step 6: Final answer
    x = 3,417,007.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.